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Finding the Third Proportional to 657,964 and 1,415,716

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Solution

The third proportional to 657,964 and 1,415,716 is: 3,046,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,964 : 1,415,716 = 1,415,716 : x
  2. Step 2: Convert to fraction form
    657,964/1,415,716 = 1,415,716/x
  3. Step 3: Cross multiply
    657,964x = 1,415,716 × 1,415,716
  4. Step 4: Simplify right side
    657,964x = 2,004,251,792,656
  5. Step 5: Solve for x
    x = 2,004,251,792,656/657,964
  6. Step 6: Final answer
    x = 3,046,142.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.